Adele constructions of direct images of differentials and symbols

Adele constructions of direct images of differentials and symbols
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阿黛尔对微分和符号的直接​​图像的构造

DOI:
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发表时间:
1997
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通讯作者:
D. Osipov
D. Osipov
中科院分区:
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文献类型:
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作者:
D. Osipov

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明确的结构给出了某些残留物和符号从微分和群的二维局部领域的微分和乘法群的一维局部领域。得到的地图被用来构建Gysin态射之间的上同调层的经常微分形式和周群之间的情况下,一个代数曲面的投影态射到代数曲线。
Explicit constructions are given for certain residues and symbols from differentials and -groups of two-dimensional local fields to differentials and multiplicative groups of one-dimensional local fields. The maps obtained are used to construct the Gysin morphisms between the cohomology of the sheaves of regular differential forms and between the Chow groups in the case of a projective morphism of an algebraic surface onto an algebraic curve.